There exist many practical representations of probability families that make them easier to handle. Among them are random sets, possibility distributions, probability intervals, Ferson's p-boxes and Neumaier's clouds. Both for theoretical and practical considerations, it is important to know whether one representation has the same expressive power than other ones, or can be approximated by other ones. In this paper, we mainly study the relationships between the two latter representations and the three other ones.
Keywords. Random Sets, possibility distributions, probability intervals, p-boxes, clouds.
The paper is availabe in the following formats:
CE Cadarache, bat 702
13115 Saint-Paul-Lez-Durance CEDEX
IRIT, Université Paul Sabatier,
118 route de Narbonne,
31062, Toulouse, cedex 4, FRANCE.
CE Cadarache Bat 702
BP 3 - 13115 Saint-Paul-Lez-Durance Cedex